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Finding the Fourth Proportional to 43,711.92, 65,569.10 and 14,129.91

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Solution

The fourth proportional to 43,711.92, 65,569.10 and 14,129.91 is: 21,195.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,711.92 : 65,569.10 = 14,129.91 : x
  2. Step 2: Convert to fraction form
    43,711.92/65,569.10 = 14,129.91/x
  3. Step 3: Cross multiply
    43,711.92x = 65,569.10 × 14,129.91
  4. Step 4: Simplify right side
    43,711.92x = 926,485,411.13
  5. Step 5: Solve for x
    x = 926,485,411.13/43,711.92
  6. Step 6: Final answer
    x = 21,195.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.